article
Absolutely continuous spectrum for random Schrödinger operators on the Fibonacci and similar Tree-strips
published
yes
Christian
Sadel
author 4760E9F8-F248-11E8-B48F-1D18A9856A870000-0001-8255-3968
LaEr
department
NSERC Postdoctoral fellowship
project
International IST Postdoc Fellowship Programme
project
We consider cross products of finite graphs with a class of trees that have arbitrarily but finitely long line segments, such as the Fibonacci tree. Such cross products are called tree-strips. We prove that for small disorder random Schrödinger operators on such tree-strips have purely absolutely continuous spectrum in a certain set.
Springer2014
eng
Mathematical Physics, Analysis and Geometry
1304.386210.1007/s11040-014-9163-4
173-4409 - 440
Sadel, Christian. “Absolutely Continuous Spectrum for Random Schrödinger Operators on the Fibonacci and Similar Tree-Strips.” <i>Mathematical Physics, Analysis and Geometry</i> 17, no. 3–4 (2014): 409–40. <a href="https://doi.org/10.1007/s11040-014-9163-4">https://doi.org/10.1007/s11040-014-9163-4</a>.
Sadel C. Absolutely continuous spectrum for random Schrödinger operators on the Fibonacci and similar Tree-strips. <i>Mathematical Physics, Analysis and Geometry</i>. 2014;17(3-4):409-440. doi:<a href="https://doi.org/10.1007/s11040-014-9163-4">10.1007/s11040-014-9163-4</a>
Sadel, Christian. “Absolutely Continuous Spectrum for Random Schrödinger Operators on the Fibonacci and Similar Tree-Strips.” <i>Mathematical Physics, Analysis and Geometry</i>, vol. 17, no. 3–4, Springer, 2014, pp. 409–40, doi:<a href="https://doi.org/10.1007/s11040-014-9163-4">10.1007/s11040-014-9163-4</a>.
Sadel C. 2014. Absolutely continuous spectrum for random Schrödinger operators on the Fibonacci and similar Tree-strips. Mathematical Physics, Analysis and Geometry. 17(3–4), 409–440.
C. Sadel, Mathematical Physics, Analysis and Geometry 17 (2014) 409–440.
C. Sadel, “Absolutely continuous spectrum for random Schrödinger operators on the Fibonacci and similar Tree-strips,” <i>Mathematical Physics, Analysis and Geometry</i>, vol. 17, no. 3–4, pp. 409–440, 2014.
Sadel, C. (2014). Absolutely continuous spectrum for random Schrödinger operators on the Fibonacci and similar Tree-strips. <i>Mathematical Physics, Analysis and Geometry</i>, <i>17</i>(3–4), 409–440. <a href="https://doi.org/10.1007/s11040-014-9163-4">https://doi.org/10.1007/s11040-014-9163-4</a>
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